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\sqrt{\frac{498}{98}}
Expand \frac{49.8}{9.8} by multiplying both numerator and the denominator by 10.
\sqrt{\frac{249}{49}}
Reduce the fraction \frac{498}{98} to lowest terms by extracting and canceling out 2.
\frac{\sqrt{249}}{\sqrt{49}}
Rewrite the square root of the division \sqrt{\frac{249}{49}} as the division of square roots \frac{\sqrt{249}}{\sqrt{49}}.
\frac{\sqrt{249}}{7}
Calculate the square root of 49 and get 7.